CALCULUS : 2HS101

Credit Hour Table

Lecture Hour T/W Hour Practical Hour Total Hour Lecture Credit T/W credit Practical Credit Total Credit
3 1 0 4 3 1 0 4
4 0 0 4 4 0 0 4
3 1 0 4 4 0 0 4
3 1 0 4 4 0 0 4

Examination Scheme

Theory Int. Asses. Theory Sem End Theory Hours Theory Total Practical / TW Asses. Grand Total
40 60 100 0 100
60 40 0 40 0 100
40 60 3 100 0 100
40 60 3 100 0 100
Learning Outcomes: 
Upon completion of this course, students will be able to:
Understand all basic fundamentals of Differentiation and Integration.
Prepare him/her for finding Area and Volume.
Apply mathematical formulas in various subjects of his/her branch.
Syllabus: 
Unit NoTopics
1

Differential Calculus :

Review of the prerequisites such as limits of sequences and functions, continuity, uniform continuity and differentiability. Successive differentiation, Leibniz’s theorem (without proof), Taylor's &Maclaurin's expansions of single variable, Indeterminate forms.

2

Partial differentiation and its applications :

Partial and total differential coefficient, Euler’s theorem, Transformations, Geometrical interpretation of partial derivatives, Tangent plane and Normal line, Jacobians, Taylor’s expansion for two  variables, Errors and approximations, Maxima and Minima of functions of two variables ,Lagrange method of undetermined multipliers to determine stationary values.

3

Integral Calculus : 

Reduction Formulae: Reduction formulae of the type and Beta & Gamma function, Error function, Elliptic integrals.  Application of integration- Length of a curve, for Cartesian, parametric & polar form.

4

Multiple integrals :

Double integral, change of order of integration, transformation of variables by Jacobian only for double integration, change into polar co-ordinates in double integrals only ,Triple integral

Text Books: 
Name : 
Higher Engineering Mathematics
Author: 
by Dr. B. S. Grewal
Reference Books: 
Name: 
Higher Engineering Mathematics
Author: 
Dr. K. R. Kachot.
Name: 
Calculus and analytical geometry
Author: 
G. B. Thomas and R. L. Finney
Syllabus PDF: 
AttachmentSize
PDF icon Calculus.pdf173.39 KB
branch: 
CBA
BDA
Cyber Security
Course: 
2018
Stream: 
B.Tech